MATHEMATICS AND EXERCISES - PART 1

Academic year
2018/2019 Syllabus of previous years
Official course title
ISTITUZIONI DI MATEMATICA CON ESERCITAZIONI - MOD.1
Course code
CT0245 (AF:274962 AR:158488)
Modality
On campus classes
ECTS credits
6 out of 12 of MATHEMATICS AND EXERCISES
Degree level
Bachelor's Degree Programme
Educational sector code
SECS-S/01
Period
1st Semester
Course year
1
Where
VENEZIA
Moodle
Go to Moodle page
The course belongs to the core educational activities on Mathematics, Physics and Statistics. The Course aims to provide the students with theoretical and applied fundamentals about differential calculus. Particular attention is payed to mathematical models that are useful in life sciences. The use of the R software is introduced for computations.
To be able to study a function of a real variable.

Knowledge and understanding
- limit computation;
- derivative computation;
- study of the first derivative of a function;
- study of the second derivative of a function.

Applying knowledge
- for the study of a function;
- for mathematical modeling of simple enviromental phenomena;
- for finding domain and codomain of a function;
- for finding minima, maxima, points of inflexion, asymptotes of a function.

Self assessment
Students evaluate their own work and learning progress through exercizes.
Program of mathematics and geometry of secondary school.
Mathematical models and sciences.
Cartesian product.
Relations and functions.
Domain, codomain.
Functions in one real variable. Lines and parabolas. Exponential,
logarithmic and trigonometric functions.
Limits: theorems and calculation.
Continuity of elementary functions.
Geometrical and physical meaning of the derivative.
Derivative of composite and elementary functions.
Classical theorems of differential calculus.
Higher order derivatives.
Study of a function with graphical representation.
Minima, maxima, points of inflexion.
Approximating functions: Taylor and Mac Laurin series.
Anichini, Conti (2012) Analisi matematica 1, Editore Pearson.

Anichini, Carbone, Chiarelli, Conti (2010) Precorso di matematica 2/Ed, Editore Pearson.
The final exam is solely in written form, with open and closed form questions as well as exercises. The final exam is divided into two parts (the same day): the first part is necessary but not sufficient to pass the exam. The main theme of the exam is the study of a function. Several simulated exams will be written during the course.
Theoretical lectures, exercises and lab sessions.
.None.
written
Definitive programme.
Last update of the programme: 21/06/2018